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Angles |
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CONTENTS |
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| Working with angles |
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Workout |
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51 slides |
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| Angles |
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Library |
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16 questions |
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Once you have registered, you can work through the slides one by one.
The workout comprises a series of sides that guide you systematically through the topic concept by concept, skill by skill. The slides may be used with or without the support of a tutor. The methodology is based on problem-solving that advances in logical succession by concept and difficulty. The student is presented with a problem or series of questions, and the next slide presents the fully-worked solution. To use the material you must sign-in or create an account.
blacksacademy.net comprises a complete course in mathematics with resources that are comprehensive.
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SAMPLE FROM THE WORKOUT |
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SLIDE 1 - QUESTION 1 |
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SLIDE 2 - SOLUTION |
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SAMPLE FROM THE LIBRARY |
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QUESTION [difficulty 0.1] |
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SOLUTION |
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DEPENDENCIES |
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CONCEPTS |
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LEV. |
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Using angle sum of circle is 360 to find unknown angle
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464.1 |
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Semicircle
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464.7 |
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Diameter
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464.7 |
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Using angle sum of line is 180 to find unknown angle
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464.8 |
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Using right-angle is 90 to find unknown angle
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465.0 |
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acute, right-angle, obtuse and reflex angles
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465.4 |
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Angle sum of triangle = 180 degrees
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465.7 |
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Triangle problem
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465.9 |
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Angles in isosceles and equilateral triangles, base angle
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466.4 |
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Vertically opposite angles
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467.4 |
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Corresponding angles
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467.6 |
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Alternating angles
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467.8 |
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Exterior and interior angle of regular polygon
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468.6 |
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RAW CONTENT OF THE WORKOUT |
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| What is provided here is the raw text of the workout. Most of the information is contained in the image files, which are not included with this text. The text may appear deceptively short. (The content overall of blacksacademy.net is vast.) Any in-line questions appear as a question mark [?]. This text is provided only as an indication of the overall quantity of material contained in the chapter. To use the material you must sign-in or create an account. |
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SLIDE 1
Use a protractor to measure the angles of the triangle.
SLIDE 2
SLIDE 3
36 people were asked to name their favorite dog. The results of the survey were as follows:
Species Votes
Labrador 16
Shepherd 10
Retriever 6
Other 4
Which of the following pie charts represents this information?
SLIDE 4
SLIDE 5
The angle of a circle is 360°
Find the angle marked X
SLIDE 6
SLIDE 7
If we divide a circle into two halves, we get a semi-circle
A line dividing a circle into two equal halves is called a diameter
The angle of a straight line is 180°
SLIDE 8
Find the missing angle
SLIDE 9
SLIDE 10
A right-angle bisects the line and measures 90°
Find the missing angle
SLIDE 11
SLIDE 12
Work out the missing angle
SLIDE 13
SLIDE 14
An acute angle is an angle between 0° and 90°
A right-angle is 90°
An obtuse angle is an angle between 90° and 180°
A reflex angle is an angle between 180° and 360°
SLIDE 15
Classify each angle
SLIDE 16
SLIDE 17
The angle sum of a triangle
Work out the missing angle x.
SLIDE 18
SLIDE 19
Find the missing angles, x and y
SLIDE 20
SLIDE 21
Find the angles A, B and C
SLIDE 22
SLIDE 23
Triangles
equilateral isosceles right-angled scalene
three equal sides two equal sides no equal sides
SLIDE 24
Find the angles a, b and c
SLIDE 25
SLIDE 26
Find P
SLIDE 27
SLIDE 28
Find the angles a, b and c
SLIDE 29
SLIDE 30
Find x
SLIDE 31
SLIDE 32
Find the angle x
SLIDE 33
SLIDE 34
Angles that are vertically opposite each other are equal
Find the angles a, b and c
SLIDE 35
SLIDE36
Parallel lines remain always the same distance apart. Pairs of parallel lines are marked by arrows
Corresponding angles in parallel are equal
Find the angle x
SLIDE 37
SLIDE 38
Alternating angles in parallel are equal
Find x and y
SLIDE 39
SLIDE 40
215 – 06
SLIDE 41
215 – 07
SLIDE 42
The figure is a regular hexagon
Find the angles x and y
SLIDE 43
SLIDE 44
The figure is a regular pentagon
Find the angles x and y
SLIDE 45
SLIDE 46
Find the exterior and interior angles of a regular octagon
SLIDE 47
The exterior angle is 45°
The interior angle is 135°
SLIDE 48
The diagram shows two pairs of parallel lines. Find the angle x
SLIDE 49
SLIDE 50
Find the angles a, b and c
SLIDE 51
Angle a is
The alternating angle on the other parallel line is also
Within the triangle containing the angle we find the third angle as
This gives
b and c are alternating angles on a parallel, so
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